-16x^2+38.4x-18=0

Solution for -16x^2+38.4x-18=0 equation:

-16x^2+38.4x-18=0

a = -16; b = 38.4; c = -18;
Δ = b2-4ac
Δ = 38.42-4·(-16)·(-18)
Δ = 322.56
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(38.4)-\sqrt{322.56}}{2*-16}=\frac{-38.4-\sqrt{322.56}}{-32}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(38.4)+\sqrt{322.56}}{2*-16}=\frac{-38.4+\sqrt{322.56}}{-32}
$